Wavelet-based entropy and complexity to identify cardiac electrical instability in patients post myocardial infarction

Abstract Myocardial infarction (MI) has been long recognized as the main cause of malignant ventricular arrhythmia and/or sudden cardiac death. The region of myocardial scars is related to conduction abnormalities that are rejected as fragmentation of the QRS complexes, which could persist several months after the acute event. In the present work, we evaluated the normalized entropy ( H ) and the statistical complexity ( C ) of QRS complexes, by using the continuous wavelet transform, as an effective method to quantify abnormal alterations in cardiac electrical activity in post-MI patients. We have included the standard 12-leads electrocardiogram (ECG) records of healthy subjects ( C TRL ), n = 48, and MI patients without ventricular tachycardia (VT) and/or fibrillation (VF), grouped in MI healing (MI7), n = 84, and healed (MI60), n = 41, phases. The mean H and C values ( H ‾ and C ‾ ) of each subject were calculated. H ‾ significantly increased and C ‾ significantly decreased (p  C TRL . We integrated all the ECG leads in a single multi-lead criteria ( H ‾ ML and C ‾ ML ). Moreover, we separated MI patients according to the infarcted area in anterior and inferior subsets. H ‾ ML and C ‾ ML showed the same trends as H ‾ and C ‾ for total patients and both infarcted areas subsets, with the advantage that higher values of sensitivity and specificity were obtained. In conclusion, wavelet entropy and statistical complexity applied to ECG records give new insight into the analysis of patients post-MI, who have not suffered VT/VF, in both MI stages, independently of the infarction areas analyzed.

[1]  C. Chui Wavelets: A Mathematical Tool for Signal Analysis , 1997 .

[2]  A. Ahmadian,et al.  ECG Feature Extraction Based on Multiresolution Wavelet Transform , 2005, 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference.

[3]  Francisco Javier de Cos Juez,et al.  Analysis of the High-Frequency Content in Human QRS Complexes by the Continuous Wavelet Transform: An Automatized Analysis for the Prediction of Sudden Cardiac Death , 2018, Sensors.

[4]  S. Thurner,et al.  Multiresolution Wavelet Analysis of Heartbeat Intervals Discriminates Healthy Patients from Those with Cardiac Pathology , 1997, adap-org/9711003.

[5]  Nitish V. Thakor,et al.  Wavelet analysis of coronary artery occlusion related changes in ECG , 1993, Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Societ.

[6]  U. Rajendra Acharya,et al.  Automated detection and localization of myocardial infarction using electrocardiogram: a comparative study of different leads , 2016, Knowl. Based Syst..

[7]  M. Simson Use of Signals in the Terminal QRS Complex to Identify Patients with Ventricular Tachycardia After Myocardial Infarction , 1981, Circulation.

[8]  M. Josephson,et al.  Fractionated electrical activity and continuous electrical activity: fact or artifact? , 1984, Circulation.

[9]  U. Rajendra Acharya,et al.  Automated Diagnosis of Myocardial Infarction ECG Signals Using Sample Entropy in Flexible Analytic Wavelet Transform Framework , 2017, Entropy.

[10]  Brani Vidakovic,et al.  Statistics for Bioengineering Sciences: With MATLAB and WinBUGS Support , 2011 .

[11]  Ton J. Cleophas,et al.  Statistics Applied to Clinical Studies , 2012, Springer Netherlands.

[12]  Jeffrey M. Hausdorff,et al.  Physionet: Components of a New Research Resource for Complex Physiologic Signals". Circu-lation Vol , 2000 .

[13]  Jeroen J. Bax,et al.  Third universal definition of myocardial infarction. , 2012, Global heart.

[14]  Fred S Apple,et al.  Third universal definition of myocardial infarction , 2012 .

[15]  Brani Vidakovic,et al.  Statistics for Bioengineering Sciences , 2011 .

[16]  E. Basar,et al.  Wavelet entropy: a new tool for analysis of short duration brain electrical signals , 2001, Journal of Neuroscience Methods.

[17]  M. Josephson,et al.  Abnormal signal-averaged electrocardiograms in patients with nonischemic congestive cardiomyopathy: relationship to sustained ventricular tachyarrhythmias. , 1985, Circulation.

[18]  Y. Palti,et al.  Beat-to-beat electrocardiographic morphology variation in healed myocardial infarction. , 1991, The American journal of cardiology.

[19]  Ralf Bousseljot,et al.  Nutzung der EKG-Signaldatenbank CARDIODAT der PTB über das Internet , 2009 .

[20]  Osvaldo A. Rosso,et al.  Characterization of time dynamical evolution of electroencephalographic epileptic records , 2002 .

[21]  C. Pintavirooj,et al.  Wavelet Entropy Analysis of the High Resolution ECG , 2006, 2006 1ST IEEE Conference on Industrial Electronics and Applications.

[22]  Daniel Lemire,et al.  Wavelet time entropy, T wave morphology and myocardial ischemia , 2000, IEEE Transactions on Biomedical Engineering.

[23]  H N Keiser,et al.  Electrocardiogram baseline noise estimation and removal using cubic splines and state-space computation techniques. , 1977, Computers and biomedical research, an international journal.

[24]  U. Rajendra Acharya,et al.  Analysis of Myocardial Infarction Using Discrete Wavelet Transform , 2010, Journal of Medical Systems.

[25]  A. Nathan The ventricular arrhythmias of ischemia and infarction: A.L. Wit and M.J. Janse Futura, Mount Kisco, NY, 1992; 648 pp.; US$150.00; ISBN: 0-87993-576-0 , 1993 .

[26]  A. Cohen,et al.  Wavelets: the mathematical background , 1996, Proc. IEEE.

[27]  Pedro David Arini,et al.  Assessment of delayed ventricular activation after myocardial infarction , 2019, Biomed. Signal Process. Control..

[28]  Tom Fawcett,et al.  An introduction to ROC analysis , 2006, Pattern Recognit. Lett..

[29]  Li Shi,et al.  Automated interpretable detection of myocardial infarction fusing energy entropy and morphological features , 2019, Comput. Methods Programs Biomed..

[30]  M. Josephson,et al.  Chapter 61 – Ventricular Tachycardia in Patients with Coronary Artery Disease , 2004 .

[31]  Alejandra Figliola,et al.  Time-frequency analysis of electroencephalogram series. III. Wavelet packets and information cost function , 1998 .

[32]  Angelo Plastino,et al.  Distances in Probability Space and the Statistical Complexity Setup , 2011, Entropy.

[33]  P. Caminal,et al.  Evaluation of very low amplitude intra-QRS potentials during the initial minutes of acute transmural myocardial ischemia. , 2014, Journal of electrocardiology.

[34]  P. Ursell,et al.  Electrophysiologic and anatomic basis for fractionated electrograms recorded from healed myocardial infarcts. , 1985, Circulation.

[35]  Pablo Laguna,et al.  A wavelet-based ECG delineator: evaluation on standard databases , 2004, IEEE Transactions on Biomedical Engineering.

[36]  Raju Sinha,et al.  An Approach for Classifying ECG Arrhythmia Based on Features Extracted from EMD and Wavelet Packet Domains , 2012 .

[37]  Lucila Ohno-Machado,et al.  Combining Classifiers Using Their Receiver Operating Characteristics and Maximum Likelihood Estimation , 2005, MICCAI.

[38]  Pedro D Arini,et al.  Beat-to-beat electrocardiographic analysis of ventricular repolarization variability in patients after myocardial infarction. , 2016, Journal of electrocardiology.